<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.6"/>
<title>SYMMETRY: symmetric_rep.h Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<script type="text/javascript">
  $(document).ready(initResizable);
  $(window).load(resizeHeight);
</script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/javascript">
  $(document).ready(function() { searchBox.OnSelectItem(0); });
</script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
 <tbody>
 <tr style="height: 56px;">
  <td style="padding-left: 0.5em;">
   <div id="projectname">SYMMETRY
   </div>
   <div id="projectbrief">C++LIBRARYFORSCIENTIFICCOMPUTATION</div>
  </td>
 </tr>
 </tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.6 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
  <div id="navrow1" class="tabs">
    <ul class="tablist">
      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
      <li><a href="annotated.html"><span>Classes</span></a></li>
      <li class="current"><a href="files.html"><span>Files</span></a></li>
      <li>
        <div id="MSearchBox" class="MSearchBoxInactive">
        <span class="left">
          <img id="MSearchSelect" src="search/mag_sel.png"
               onmouseover="return searchBox.OnSearchSelectShow()"
               onmouseout="return searchBox.OnSearchSelectHide()"
               alt=""/>
          <input type="text" id="MSearchField" value="Search" accesskey="S"
               onfocus="searchBox.OnSearchFieldFocus(true)" 
               onblur="searchBox.OnSearchFieldFocus(false)" 
               onkeyup="searchBox.OnSearchFieldChange(event)"/>
          </span><span class="right">
            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
          </span>
        </div>
      </li>
    </ul>
  </div>
  <div id="navrow2" class="tabs2">
    <ul class="tablist">
      <li><a href="files.html"><span>File&#160;List</span></a></li>
    </ul>
  </div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
  <div id="nav-tree">
    <div id="nav-tree-contents">
      <div id="nav-sync" class="sync"></div>
    </div>
  </div>
  <div id="splitbar" style="-moz-user-select:none;" 
       class="ui-resizable-handle">
  </div>
</div>
<script type="text/javascript">
$(document).ready(function(){initNavTree('symmetric__rep_8h_source.html','');});
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
     onmouseover="return searchBox.OnSearchSelectShow()"
     onmouseout="return searchBox.OnSearchSelectHide()"
     onkeydown="return searchBox.OnSearchSelectKey(event)">
<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Pages</a></div>

<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0" 
        name="MSearchResults" id="MSearchResults">
</iframe>
</div>

<div class="header">
  <div class="headertitle">
<div class="title">symmetric_rep.h</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef SYMMETRIC_REP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define SYMMETRIC_REP_</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;list&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/random.hpp&gt;</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;ctime&gt;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;initializer_list&gt;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &quot;std_ex.h&quot;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html">   20</a></span>&#160;<span class="keyword">class </span><a class="code" href="classcSymmetricRep.html">cSymmetricRep</a></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;{</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classcSymmetricRep.html">cSymmetricRep&lt;T&gt;</a> <a class="code" href="classcSymmetricRep.html">SelfType</a>;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <a class="code" href="classcSymmetricRep.html">cSymmetricRep</a>()</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    {}</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#a64f4c25b8f5aebbd78f49f3485aed88f">   33</a></span>&#160;    <a class="code" href="classcSymmetricRep.html#a64f4c25b8f5aebbd78f49f3485aed88f">cSymmetricRep</a>(std::vector&lt;T&gt; &amp;generators_set)</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        :m_GenSet(generators_set)</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    {</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    }</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#a47ba133fe6f1ba2b8d3da5ae6cb001d9">   41</a></span>&#160;    <a class="code" href="classcSymmetricRep.html#a47ba133fe6f1ba2b8d3da5ae6cb001d9">cSymmetricRep</a>(std::initializer_list&lt;T&gt; perm_list)</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    {</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">for</span>(<span class="keyword">auto</span> iter = perm_list.begin(); iter &lt; perm_list.end()-1; iter++)</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        {</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            m_GenSet.push_back(*iter);</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        }</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <a class="code" href="classcSymmetricRep.html">cSymmetricRep</a>(<span class="keyword">const</span> SelfType &amp;sym_rep)</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    {</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        m_GenSet = sym_rep.GetGeneratorsSet();</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    }</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <a class="code" href="classcSymmetricRep.html">cSymmetricRep</a>&amp; operator=(<span class="keyword">const</span> SelfType&amp; sym_rep)</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keywordflow">if</span>(<span class="keyword">this</span> != &amp;sym_rep)</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            m_GenSet = sym_rep.GetGeneratorsSet();</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    }</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    ~<a class="code" href="classcSymmetricRep.html">cSymmetricRep</a>()</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    {}</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="keyword">friend</span> std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out,<span class="keyword">const</span> SelfType &amp;group_rep)</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    {</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        out&lt;&lt;<span class="stringliteral">&quot;&lt; \n&quot;</span>;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">for</span>(<span class="keyword">auto</span> iter = group_rep.m_GenSet.begin(); iter != group_rep.m_GenSet.end(); iter++)</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        {</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            out&lt;&lt;*iter&lt;&lt;<span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        }</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        out&lt;&lt;<span class="stringliteral">&quot; \n&gt;&quot;</span>;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">return</span> out;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    }</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#a60f095284b40e494a34fda76e1fc7ecd">   78</a></span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="classcSymmetricRep.html#a60f095284b40e494a34fda76e1fc7ecd">Contains</a>(<span class="keyword">const</span> T &amp;element)<span class="keyword">const</span></div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        std::vector&lt;T&gt; elements = <a class="code" href="classcSymmetricRep.html#ad9f112b996c14824bd1d669aed162cbf">GetElementsDimino</a>();</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">return</span> (std::find(elements.begin(), elements.end(), element) != elements.end());</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#a935cec1dbd90a09581f1aa7f150eb9de">   91</a></span>&#160;    std::vector&lt;T&gt; <a class="code" href="classcSymmetricRep.html#a935cec1dbd90a09581f1aa7f150eb9de">GetElementsNaive</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        std::vector&lt;T&gt; elements;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        elements.push_back(GetIdentity());</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">for</span>( std::size_t index = 0; index &lt; elements.size(); index++)</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        {</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            <span class="keywordflow">for</span>(<span class="keyword">auto</span> set_iter = m_GenSet.begin(); set_iter != m_GenSet.end(); set_iter++)</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            {</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                T element = (*set_iter) * elements[index];</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                <span class="keywordflow">if</span>(find(elements.begin(), elements.end(), element) == elements.end())</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                {</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                    elements.push_back(element);</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                }</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            }</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        }</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">return</span> elements;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#ad9f112b996c14824bd1d669aed162cbf">  115</a></span>&#160;    std::vector&lt;T&gt; <a class="code" href="classcSymmetricRep.html#ad9f112b996c14824bd1d669aed162cbf">GetElementsDimino</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        assert(!m_GenSet.empty());</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span>(m_GenSet.empty())</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;no generators provided&quot;</span>);</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span>(m_GenSet.size() == 1)</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classcSymmetricRep.html#a2dfa5d3358d69914a625536d994be72c">GetCyclicSubgroupEl</a>(*m_GenSet.begin());</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="comment">//generate cyclic group of the first generator</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        std::vector&lt;T&gt; elements = <a class="code" href="classcSymmetricRep.html#a2dfa5d3358d69914a625536d994be72c">GetCyclicSubgroupEl</a>(*m_GenSet.begin());</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="comment">//inductive step</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">for</span>(<span class="keyword">auto</span> it = (m_GenSet.begin() + 1); it != m_GenSet.end(); it++)</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            <span class="keywordflow">if</span>(find(elements.begin(),elements.end(),*it) == elements.end())</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            {</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                std::size_t prev_order = elements.size() - 1;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                elements.push_back(*it);</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                <span class="keywordflow">for</span>(std::size_t index = 1; index &lt;= prev_order; index++)</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                {</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                    <span class="keywordflow">if</span>(find(elements.begin(), elements.end(), elements[index] *</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                            (*it)) != elements.end())</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                        <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                    elements.push_back(elements[index] * (*it));</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                }</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                std::size_t rep_pos = prev_order + 1;   <span class="comment">//cosset rep position</span></div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                <span class="keywordflow">while</span>(<span class="keyword">true</span>)</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                    <span class="keywordflow">for</span>(<span class="keyword">auto</span> it1 = m_GenSet.begin(); it1 != m_GenSet.end(); it1++)</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                    {</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                        T element = elements[rep_pos] * (*it1);</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                        <span class="keywordflow">if</span>(find(elements.begin(), elements.end(), element) == elements.end())</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                        {</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;                            elements.push_back(element);</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                            <span class="keywordflow">for</span>(std::size_t index = 1; index &lt;= prev_order; index++)</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                            {</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                                <span class="keywordflow">if</span>(find(elements.begin(), elements.end(), elements[index] *</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                                        element) != elements.end())</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                                    <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                                elements.push_back(elements[index] * element);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                            }</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;                        }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;                    }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                    rep_pos += prev_order;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;                    <span class="keywordflow">if</span>( (prev_order == 0) || (rep_pos &gt; elements.size() - 1) )</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;                        <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;                }</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            }</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <span class="keywordflow">return</span> elements;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#a62cbd7057456f503eec43d592497e94f">  171</a></span>&#160;    std::vector&lt;std::size_t&gt; <a class="code" href="classcSymmetricRep.html#a62cbd7057456f503eec43d592497e94f">GetOrbit</a>(<span class="keyword">const</span> std::size_t &amp;set_element)<span class="keyword">const</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        std::vector&lt;std::size_t&gt; orbit;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        orbit.push_back(set_element);</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        std::vector&lt;T&gt; elements = <a class="code" href="classcSymmetricRep.html#ad9f112b996c14824bd1d669aed162cbf">GetElementsDimino</a>();</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; orbit.size(); index++)</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        {</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;            <span class="keywordflow">for</span>(<span class="keyword">auto</span> it1 = elements.begin(); it1 != elements.end(); it1++)</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;            {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                std::size_t image = it1-&gt;GetImage(orbit[index]);</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                <span class="keywordflow">if</span>(find(orbit.begin(), orbit.end(), image) == orbit.end())</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;                {</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;                    orbit.push_back(image);</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;                }</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            }</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        }</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        <span class="keywordflow">return</span> orbit;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    }</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    <span class="comment">//getter, setter</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <span class="keyword">const</span> std::vector&lt;T&gt; &amp;GetGeneratorsSet()<span class="keyword">const</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;        <span class="keywordflow">return</span> m_GenSet;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    }</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    <span class="keywordtype">void</span> SetGeneratorsSet(<span class="keyword">const</span> std::vector&lt;T&gt; &amp;gen_set)</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    {</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        m_GenSet = gen_set;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    }</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    <span class="keywordtype">void</span> AddGenerator(<span class="keyword">const</span> T &amp;element)</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    {</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;        m_GenSet.push_back(element);</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    }</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;    <span class="keywordtype">void</span> ClearGenerators()</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    {</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        m_GenSet.clear();</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    }</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> SelfType &amp;symgrp)<span class="keyword">const</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        <span class="keywordflow">return</span> m_GenSet == symgrp.GetGeneratorsSet();</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> SelfType &amp;symgrp)<span class="keyword">const</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        <span class="keywordflow">return</span> !(*<span class="keyword">this</span> == symgrp);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;    }</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;    T GetIdentity()<span class="keyword">const</span></div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        assert(m_GenSet.size() != 0);</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        <span class="keywordflow">return</span> m_GenSet.begin()-&gt;GetIdentity();</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;    }</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div>
<div class="line"><a name="l00233"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#a2dfa5d3358d69914a625536d994be72c">  233</a></span>&#160;    std::vector&lt;T&gt; <a class="code" href="classcSymmetricRep.html#a2dfa5d3358d69914a625536d994be72c">GetCyclicSubgroupEl</a>(<span class="keyword">const</span> T&amp; element)<span class="keyword">const</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;        T temp_el = element;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;        std::vector&lt;T&gt; cyclic_group;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        cyclic_group.push_back(GetIdentity());</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;        <span class="keywordflow">while</span>(temp_el != GetIdentity())</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        {</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;            cyclic_group.push_back(temp_el);</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;            temp_el = temp_el * element;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;        }</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;        <span class="keywordflow">return</span> cyclic_group;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;    }</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
<div class="line"><a name="l00251"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#ac110028d8d6e161448f15bc1548d5274">  251</a></span>&#160;    std::vector&lt;T&gt; <a class="code" href="classcSymmetricRep.html#ac110028d8d6e161448f15bc1548d5274">GetCyclicSubgroupEl</a>(<span class="keyword">const</span> std::size_t size)</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;    {</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;        std::vector&lt;T&gt; cyclic_group;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        T elem(size);</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;        cyclic_group.push_back(elem);</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 1; index &lt; size; index++)</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        {</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;            elem.rotateLeft();</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;            cyclic_group.push_back(elem);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        }</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        <span class="keywordflow">return</span> cyclic_group;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;    }</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;</div>
<div class="line"><a name="l00269"></a><span class="lineno"><a class="line" href="classcSymmetricRep.html#a4a9724dc8ba8c8ccc041fe1f86dc4701">  269</a></span>&#160;    std::vector&lt;T&gt; <a class="code" href="classcSymmetricRep.html#a4a9724dc8ba8c8ccc041fe1f86dc4701">GetDihedralSubgroupEl</a>(<span class="keyword">const</span> std::size_t size)</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;    {</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;        std::vector&lt;T&gt; dihedral_group = <a class="code" href="classcSymmetricRep.html#a2dfa5d3358d69914a625536d994be72c">GetCyclicSubgroupEl</a>(size);</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;        std::vector&lt;std::size_t&gt; ref_array(size);</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        ref_array[0] = 1;</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;        <span class="keywordflow">for</span>(std::size_t i = 1; i &lt; size; i++)</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        {</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;            ref_array[i] = size - i + 1;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;        }</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;        T ref_elem(ref_array);</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;        dihedral_group.push_back(ref_elem);</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 1; index &lt; size; index++)</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        {</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;            ref_elem.rotateLeft();</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;            dihedral_group.push_back(ref_elem);</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;        }</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;        <span class="keywordflow">return</span> dihedral_group;</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;    }</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    std::vector&lt;T&gt; m_GenSet;</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;};</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;<span class="preprocessor"></span></div>
<div class="ttc" id="classcSymmetricRep_html_a2dfa5d3358d69914a625536d994be72c"><div class="ttname"><a href="classcSymmetricRep.html#a2dfa5d3358d69914a625536d994be72c">cSymmetricRep::GetCyclicSubgroupEl</a></div><div class="ttdeci">std::vector&lt; T &gt; GetCyclicSubgroupEl(const T &amp;element) const </div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:233</div></div>
<div class="ttc" id="classcSymmetricRep_html_ac110028d8d6e161448f15bc1548d5274"><div class="ttname"><a href="classcSymmetricRep.html#ac110028d8d6e161448f15bc1548d5274">cSymmetricRep::GetCyclicSubgroupEl</a></div><div class="ttdeci">std::vector&lt; T &gt; GetCyclicSubgroupEl(const std::size_t size)</div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:251</div></div>
<div class="ttc" id="classcSymmetricRep_html_a62cbd7057456f503eec43d592497e94f"><div class="ttname"><a href="classcSymmetricRep.html#a62cbd7057456f503eec43d592497e94f">cSymmetricRep::GetOrbit</a></div><div class="ttdeci">std::vector&lt; std::size_t &gt; GetOrbit(const std::size_t &amp;set_element) const </div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:171</div></div>
<div class="ttc" id="classcSymmetricRep_html_a60f095284b40e494a34fda76e1fc7ecd"><div class="ttname"><a href="classcSymmetricRep.html#a60f095284b40e494a34fda76e1fc7ecd">cSymmetricRep::Contains</a></div><div class="ttdeci">bool Contains(const T &amp;element) const </div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:78</div></div>
<div class="ttc" id="classcSymmetricRep_html_a4a9724dc8ba8c8ccc041fe1f86dc4701"><div class="ttname"><a href="classcSymmetricRep.html#a4a9724dc8ba8c8ccc041fe1f86dc4701">cSymmetricRep::GetDihedralSubgroupEl</a></div><div class="ttdeci">std::vector&lt; T &gt; GetDihedralSubgroupEl(const std::size_t size)</div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:269</div></div>
<div class="ttc" id="classcSymmetricRep_html_a47ba133fe6f1ba2b8d3da5ae6cb001d9"><div class="ttname"><a href="classcSymmetricRep.html#a47ba133fe6f1ba2b8d3da5ae6cb001d9">cSymmetricRep::cSymmetricRep</a></div><div class="ttdeci">cSymmetricRep(std::initializer_list&lt; T &gt; perm_list)</div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:41</div></div>
<div class="ttc" id="classcSymmetricRep_html_a935cec1dbd90a09581f1aa7f150eb9de"><div class="ttname"><a href="classcSymmetricRep.html#a935cec1dbd90a09581f1aa7f150eb9de">cSymmetricRep::GetElementsNaive</a></div><div class="ttdeci">std::vector&lt; T &gt; GetElementsNaive() const </div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:91</div></div>
<div class="ttc" id="classcSymmetricRep_html_a64f4c25b8f5aebbd78f49f3485aed88f"><div class="ttname"><a href="classcSymmetricRep.html#a64f4c25b8f5aebbd78f49f3485aed88f">cSymmetricRep::cSymmetricRep</a></div><div class="ttdeci">cSymmetricRep(std::vector&lt; T &gt; &amp;generators_set)</div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:33</div></div>
<div class="ttc" id="classcSymmetricRep_html_ad9f112b996c14824bd1d669aed162cbf"><div class="ttname"><a href="classcSymmetricRep.html#ad9f112b996c14824bd1d669aed162cbf">cSymmetricRep::GetElementsDimino</a></div><div class="ttdeci">std::vector&lt; T &gt; GetElementsDimino() const </div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:115</div></div>
<div class="ttc" id="classcSymmetricRep_html"><div class="ttname"><a href="classcSymmetricRep.html">cSymmetricRep</a></div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:20</div></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
  <ul>
    <li class="navelem"><b>symmetric_rep.h</b></li>
    <li class="footer">Generated on Tue Feb 25 2014 17:11:52 for SYMMETRY by
    <a href="http://www.doxygen.org/index.html">
    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.6 </li>
  </ul>
</div>
</body>
</html>
